GCF of 9552/57, 9444/288
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9552/57, 9444/288 i.e 12/5472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9552/57, 9444/288.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 9552/57,9444/288?
Given fractions are 9552/57,9444/288
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 9552/57,9444/288, numerators are 9552,9444
Denominators are 57,288
The GCF of 9552,9444 is 12 .
LCM of 57,288 is 5472.
The greatest common factor of 9552/57,9444/288 = [GCF of 9552,9444]/[LCM of 57,288]= 12/5472
Therefore, the GCF of 9552/57,9444/288 is 12/5472.
To find the highest common factor of 9552,9444, we have to find the factors of both numbers and list the highest common factor.
The factors of 9552 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 199, 398, 597, 796, 1194, 1592, 2388, 3184, 4776, 9552
The factors of 9444 are 1, 2, 3, 4, 6, 12, 787, 1574, 2361, 3148, 4722, 9444
The HCF of 9552,9444 is 12.
Lets's calculate GCF of 9552,9444
| 2 | 9552, 9444 |
| 2 | 4776, 4722 |
| 3 | 2388, 2361 |
| 796, 787 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 9552,9444 By Matching Biggest Common Factor Method
Now, list down the factors of 9552
:1,2,3,4,6,8,12,16,24,48,199,398,597,796,1194,1592,2388,3184,4776,9552
Now, list down the factors of 9444
:1,2,3,4,6,12,787,1574,2361,3148,4722,9444
Greatest Common Factor
We found the factors 9552,9444 . The biggest common factor number is the GCF number.
So the greatest common factor 9552,9444 is 12.
Lets's calculate LCM of 57,288
| 3 | 57, 288 |
| 19, 96 |
∴ So the LCM of the given numbers is 3 x 19 x 96 = 5472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/5472
Therefore, the GCF of Fractions 9552/57,9444/288 is 12/5472
Least Common Multiple of 57,288 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 57,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,288) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(57,288) x common factors =3 x 1 = 3
LCM(57,288) = ( 57 × 288 ) / 3
LCM(57,288) = 16416 / 3
LCM(57,288) = 5472
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9552/57, 9444/288
1. What is the HCF of 9552,9444?
The HCF of 9552,9444 is 12
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 9552/57, 9444/288?
Answer: GCF of Numerators as per given numbers 9552/57, 9444/288 is
GCF of Numerators i.e. for 9552,9444 is 12
LCM of denominators i.e. for 57,288 is 5472.
Thus, GCF of Fractions is 12/5472.Finally, GCF of Fractions for 9552/57, 9444/288 is 12/5472.